半直線上非線性方程組奇異邊值問題.pdf

1、天津大學(xué)碩士學(xué)位論文半直線上非線性方程組奇異邊值問題姓名：張棟申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：史國良20070601AbstractInthispaper，singularboundaryvalueproblemsofnonlinearequationsystemonahalflinewillbeconsideredThepaperismainlydividedintofourchaptersThefirstsectionis

2、theintroductionofthewholepaperWetalkaboutthebackgroundofthispaper，andmakeplansfortheresearchoftheproblemThenextsectionconsistsofdefinitionsandtheoremsandmainlyinvestigatesnonlinearequationsystemIt正Ⅳ=，(t，u，t，)，It，Ⅳ=g(t，Ⅱ，

3、口)，wheref，g∈C((o，o。)RR，R)WeCanobtainsomeconditionsfortheexistenceofsolutionstosingularboundaryproblemsoftheabovesystemByconstructingupperandlowersolutionswecangetthenecessaryandsufficientconditionsfortheexistenceofsoluti

4、onstosingularboundaryvalueproblemsofquasihomogenousequationsystem1一∥=f(t，u，“)，【一∥=g(t，札，t，)，where，，g∈C((0，o。)礦礦，礦)，巾，1，1)≠0，礦‘=【0，∞)，andthereareconstants入，p，N，M，0≤A≤p0，讓，tJ≥0薩薩’aal仳可Ut，t‘t，仳t，Mandgsatisfiestheaboveproper

5、tyThethirdsectionmainlyclassifiesthepositivesolutionsofquasi—homogenousequationsystemandinvestigatestheirexistencebyapplyingSchauderfixedpointtheoremAtlast，wesummarizetheresultsofthewholepaperKeyWords：halfline；quasihomog